Add to ORKGGeneral algebras of ultradifferentiable generalized functions satisfying some regularity assumptions are introduced. We give a microlocal analysis within these algebras related to the regularity type and the ultradifferentiable property. As a particular case we obtain new algebras of Gevrey generalized functions
AbstractWe present new types of regularity for nonlinear generalized functions, based on the notion ...
In this review article we present regularity properties of generalized functions which are useful in...
Ultrafunctions are a particular class of functions defined on a non-Archimedean field R∗⊃R. They hav...
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
We give a description of various algebras of generalized functions based on the introduction of pseu...
Regularity theory in generalized function algebras of Colombeau type is largely based on the notion ...
We define the algebra of Colombeau generalized functions on ~R^d which naturally contains the genera...
We define the algebra of Colombeau generalized functions on ~R^d which naturally contains the genera...
We define the algebra of Colombeau generalized functions on ~R^d which naturally contains the genera...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
We introduce different notions of wave front set for the functionals in the dual of the Colomboau al...
Abstract. This paper gives a comprehensive analysis of algebras of Colombeau-type generalized functi...
AbstractWe present new types of regularity for nonlinear generalized functions, based on the notion ...
Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers...
We introduce and analyze spaces and algebras of generalized functions which correspond to Hölder, Zy...
AbstractWe present new types of regularity for nonlinear generalized functions, based on the notion ...
In this review article we present regularity properties of generalized functions which are useful in...
Ultrafunctions are a particular class of functions defined on a non-Archimedean field R∗⊃R. They hav...
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
We give a description of various algebras of generalized functions based on the introduction of pseu...
Regularity theory in generalized function algebras of Colombeau type is largely based on the notion ...
We define the algebra of Colombeau generalized functions on ~R^d which naturally contains the genera...
We define the algebra of Colombeau generalized functions on ~R^d which naturally contains the genera...
We define the algebra of Colombeau generalized functions on ~R^d which naturally contains the genera...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
We introduce different notions of wave front set for the functionals in the dual of the Colomboau al...
Abstract. This paper gives a comprehensive analysis of algebras of Colombeau-type generalized functi...
AbstractWe present new types of regularity for nonlinear generalized functions, based on the notion ...
Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers...
We introduce and analyze spaces and algebras of generalized functions which correspond to Hölder, Zy...
AbstractWe present new types of regularity for nonlinear generalized functions, based on the notion ...
In this review article we present regularity properties of generalized functions which are useful in...
Ultrafunctions are a particular class of functions defined on a non-Archimedean field R∗⊃R. They hav...